About the Rules & Moderation category (Part 1)

it sucks? hell vacuum cleaner?

Meow

Feed me I’m bored entertain me

What’s an atlas quote like that

As in something atlas would say

I feel like atlas would say all of those words but never sequentially

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It doesn’t count but it sort or counts

WAIT

IT WAS LITERALLY FROM ATOAS

I thought may did it first

That’s so funny holy shit

NYAAAAAAAAAAAAAA I thought you made it

i’m not touching whatever is going on in the cookie thread with an arbitrary long stick

Whatimissimatwork

ARBITRARY BOUND M

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Hey girl, are you lipschitz continuous? Because I can find a real number M such that |f(x)-f(y)| / |x-y| < M for all x, y in the reals

stick length [chosen by the storyteller]

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one day I will obtain an intuitive idea of what uniform continuity entails

For a function defined on a bounded and open interval, I’m pretty sure it’s equivalent to being able to define a value of the function on the endpoints of the interval such that the function remains continouous

And combining this with the fact that a continuous function on a closed interval is always uniformly continuous, this means for finite intervals it’s a question about whether you can fill in the endpoints

but IDK how to take the idea of ā€œfill in the endpoints of the intervals in a way that makes the function continuousā€ to the unbounded domain case